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Finding the Fourth Proportional to 3,390.06, 5,076 and 3,284.40

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Solution

The fourth proportional to 3,390.06, 5,076 and 3,284.40 is: 4,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.06 : 5,076 = 3,284.40 : x
  2. Step 2: Convert to fraction form
    3,390.06/5,076 = 3,284.40/x
  3. Step 3: Cross multiply
    3,390.06x = 5,076 × 3,284.40
  4. Step 4: Simplify right side
    3,390.06x = 16,671,614.40
  5. Step 5: Solve for x
    x = 16,671,614.40/3,390.06
  6. Step 6: Final answer
    x = 4,917.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.